They do have a flag on the various uniforms.
These are fine, I am assured.
I was reacting to this shot from the athlete’s left where the patch on the right is not seen and the ‘polo pony’ is.
http://www.nypost.com/r/nypost/2012/07/10/sports/web_photos/OlympicsUSUniforms113318—525x415.jpg
But certainly agree on the critical issues you mentioned.